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Research & Reviews: Discrete Mathematical Structures

Codes Over Frobenius Groups

  1. Sudesh Sehrawat
  2. Manju Pruthi

Abstract

AbstractIn this paper we consider the group algebra FG where G is Frobenius group  of order , where  and char(F) does not divide order of G. We find the generating idempotents in the group algebra of Frobenius group by using character theory. We also find the minimum distance and dimension of the codes generated by these idempotents.2010 Mathematics Subject Classification: 20G05, 20E45, 94B60Keywords: Group algebra, linear and non-linear characters, idempotents, Frobenius group.Cite this ArticleSudesh Sehrawat, Manju Pruthi. Codes over Frobenius Groups. Research & Reviews Discrete Mathematical Structures. 2019; 6(2): 1–6p.
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